4149605376 has 330 divisors, whose sum is σ = 14428758498. Its totient is φ = 1184440320.

The previous prime is 4149605363. The next prime is 4149605401. The reversal of 4149605376 is 6735069414.

4149605376 is a `hidden beast` number, since 4 + 1 + 4 + 9 + 605 + 37 + 6 = 666.

4149605376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 491774976 = 60480^2 + 22176^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4063746 + ... + 4064766.

Almost surely, 2^4149605376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4149605376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214379249).

4149605376 is an abundant number, since it is smaller than the sum of its proper divisors (10279153122).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4149605376 is a wasteful number, since it uses less digits than its factorization.

4149605376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4149605376 is about 64417.4306845593. The cubic root of 4149605376 is about 1606.9496370528.

The spelling of 4149605376 in words is "four billion, one hundred forty-nine million, six hundred five thousand, three hundred seventy-six".